Consider the function. f(x) = Identify the domain off. (Give your answer as an interval in the form (+, +). Use the symbol oo for infinity, U for combining intervals, and an a type of parentheses "(",")", "[", or "J" depending on whether the interval is open or closed. Enter Øif the interval is em Express numbers in exact form. Use symbolic notation and fractions where needed.) domain off: Identify the transition points of f. (Give your answer in the form of a comma-separated list when needed. Express numbers in exact form. Use symbolic and fractions where needed. Enter DNE if no such x-value exists.) f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 4E
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Question
Consider the function.
f(x) = -
7
_1
x 14
Identify the domain of f.
(Give your answer as an interval in the form (, ). Use the symbol oo for infinity, U for combining intervals, and an appropriate
type of parentheses "(".")", "[", or "I" depending on whether the interval is open or closed. Enter Ø if the interval is empty.
Express numbers in exact form. Use symbolic notation and fractions where needed.)
domain of f
Identify the transition points of f.
(Give your answer in the form of a comma-separated list when needed. Express numbers in exact form. Use symbolic notation
and fractions where needed. Enter DNE if no such x-value exists.)
f has a local maximum at x =
f has a local minimum at x =
f has a point of inflection at x =
Identify the asymptotes of f.
(Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions
where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such
asymptote exists.)
vertical asymptote(s):
horizontal asymptote(s):
Use the graphing utility to graph f.
f(x)=
y
12
-12
12
desmos
Transcribed Image Text:Consider the function. f(x) = - 7 _1 x 14 Identify the domain of f. (Give your answer as an interval in the form (, ). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parentheses "(".")", "[", or "I" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain of f Identify the transition points of f. (Give your answer in the form of a comma-separated list when needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x)= y 12 -12 12 desmos
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